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144205220021345 = 57215127277142903
BaseRepresentation
bin100000110010011101100100…
…111010100000010001100001
3200220120212212201121111010122
4200302131210322200101201
5122400124242311140340
61230410544042210025
742242324532506300
oct4062354472402141
9626525781544118
10144205220021345
1141a480aa30933a
121420bb304b3915
136260656131212
1427877d9ac4437
1511a1196d33db5
hex832764ea0461

144205220021345 has 48 divisors (see below), whose sum is σ = 202640666059008. Its totient is φ = 98224432790400.

The previous prime is 144205220021339. The next prime is 144205220021347. The reversal of 144205220021345 is 543120022502441.

It is not a de Polignac number, because 144205220021345 - 26 = 144205220021281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144205220021347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009041164 + ... + 1009184066.

It is an arithmetic number, because the mean of its divisors is an integer number (4221680542896).

Almost surely, 2144205220021345 is an apocalyptic number.

It is an amenable number.

144205220021345 is a deficient number, since it is larger than the sum of its proper divisors (58435446037663).

144205220021345 is a wasteful number, since it uses less digits than its factorization.

144205220021345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170350 (or 170343 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 144205220021345 its reverse (543120022502441), we get a palindrome (687325242523786).

The spelling of 144205220021345 in words is "one hundred forty-four trillion, two hundred five billion, two hundred twenty million, twenty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 151 245 755 1057 5285 7399 27277 36995 136385 142903 190939 714515 954695 1000321 1336573 4118827 5001605 6682865 7002247 20594135 21578353 28831789 35011235 107891765 144158945 151048471 201822523 755242355 1009112615 1057339297 3897965131 5286696485 19489825655 27285755917 136428779585 191000291419 588592734781 955001457095 2942963673905 4120149143467 20600745717335 28841044004269 144205220021345